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The phrase "a first model was" is correct and usable in written English.
It can be used when introducing or discussing an initial version or prototype of something, often in a scientific or technical context.
Example: "In our research, we found that a first model was developed to test the hypothesis before further iterations were created."
Alternatives: "an initial model was" or "a preliminary model was".
Exact(2)
A first model was performed with categorized sepsis score, and PCT as well as shock were excluded because already part of its calculation.
A first model was built including pre-ART viral load, duration of suppressive ART, CD4 cell counts, residual plasma HIV-1 RNA levels, frequency of CD8+HLA-DR/DP/DQ+ cells, and sCD14 levels.
Similar(58)
A second model was made, and exhibited at the International Exhibition of Decorative and Industrial Arts in Paris in 1925.
A fourth model was produced to represent transport within the cell.
Demographic isolation is a quasi-dependent variable and therefore a second model was developed using surrogate variables for demographic isolation.
A second model was designed with all 630 binary products of the metal/IC interface (((35 + 1) × 35)/2).
A second model was developed to solve the soil-structure interaction equations under unsaturated soil conditions (Saadeldin et al., 2013b).
Similarly, a third model was fitted, this time, stratified by PSA at study start of <1 ng/ml or ≥1 ng/ml.
A third model was generated to calculate the PI.
A second model was then fitted that also included demographic and clinical variables (model 2).
Therefore, a second model was tested, with possible violations of "no correlated errors" (Fit Model B).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com